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Finding the Fourth Proportional to 6,061, 9,093.83 and 2,365.85

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Solution

The fourth proportional to 6,061, 9,093.83 and 2,365.85 is: 3,549.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,061 : 9,093.83 = 2,365.85 : x
  2. Step 2: Convert to fraction form
    6,061/9,093.83 = 2,365.85/x
  3. Step 3: Cross multiply
    6,061x = 9,093.83 × 2,365.85
  4. Step 4: Simplify right side
    6,061x = 21,514,637.71
  5. Step 5: Solve for x
    x = 21,514,637.71/6,061
  6. Step 6: Final answer
    x = 3,549.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.